2
Find area of the triangle if its perimeter is 32 cms, if length of its two sides is
8 cms and 11 cms respectively.
Answers
Perimeter of a triangle m=Sum of all sides
Let the third side be x.
32=8+11+x
32=19+x
x=32-19
x=13 cm
Now,you can find area of triangle by using the formula...
Answer:
Given:
* The length of two sides of a triangle are 8 cm and 11 cm respectively.
The perimeter of a triangle = 32 cm
To find:
The area of a triangle=?
Solution:
Let a, b, c be the length of sides of a given triangle,
and 2s be the perimeter of a triangle.
* Perimeter of triangle = a + b +c *
Now,
a + b + c = 2s
8 + 11 + c = 32
19 + c = 32
32 - 19
C = 13 cm
Now, we know it's Semi-perimeter
Semi-perimeter = Perimeter/2
Semi-perimeter = 32/2
Semi-perimeter = 16 cm =
.
Math
5 points e
ill
79
Using Heron's formula,
* Area of Triangle = vs(s - a) (s - b) (s -c)*
Area of Triangle = √16(8) (5 ) ( 3)
> Area of Triangle = √16 8 x 5 x 3
Area of Triangle = √2 x 8 x 8 x 5 x 3
> Area of Triangle = √2 x 8 x 8 x 5 x 3 =
Area of Triangle = 8√2 x 5 x 3
Area of Triangle = 8√30 =
.: The area of Triangle = 8√3
Step-by-step explanation: